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aleksandrvk [35]
3 years ago
10

The length of one leg of a right triangle is 8 centimeters shorter than the

Mathematics
1 answer:
ra1l [238]3 years ago
3 0

{34}^{2}  +  {b}^{2}  = {42}^{2}  \\ 1156 + {b}^{2}  = 1764 \\ 1156 - 1156 +  {b}^{2}  = 1764 - 1156 \\  {b}^{2}  = 608 \\  \sqrt{ {b}^{2} }  =  \sqrt{608}  \\ b = 24.7
I used the Pythagorean formula, which is a² + b² = c².
a² and b² are the two side legs while c² is the hypotenuse.
One of the side is 42 - 8 = 34 cm.

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Answer:

Step-by-step explanation:

Given the information of the conical hat

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=> the slant height of the hat is (use Pythagorean Theorem)

s^{2} = r^{2} + h^{2}

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<=> s = \sqrt{145}  

The area (without the base area) of tissue paper will she need to make one hat is:

SA = πrs  in2

<=> SA =  π*8*\sqrt{145}  in2

<=> SA =8 \sqrt{145} π

=> the total tissue paper will she need for 21 hats is:

SA*21

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3 years ago
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Sunny_sXe [5.5K]

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Step-by-step explanation:

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-22x%3D10%5C%5C" id="TexFormula1" title="x^{2} -22x=10\\" alt="x^{2} -22x=10\\"
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Answer:

Step-by-step explanation:

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Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes

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x^2 - 22x + (11)^2 = 10 + (11)^2

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x^2 - 22x + (11)^2 = 131

x^2 - 22x + 121^2 = 131

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Adding 11 to the left hand side and the right hand side of the equation, it becomes

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4 years ago
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cupoosta [38]
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Hope this helps :)
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Answer:

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